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因式分解(3m²-n²)-(m²-3n²)²要过程
人气:269 ℃ 时间:2019-08-31 19:01:23
解答
(3m²-n²)²-(m²-3n²)²
用平方差公式
(3m²-n²)²-(m²-3n²)²
=[(3m²-n²)-(m²-3n²)] [(3m²-n²) + (m²-3n²)]
= [2 (m²+n² )] [4 m²-4 n²]
= [2 (m²+n²)] [ 4( m- n) (m+n)]
= 8 ( m- n) (m+n) (m²+n² )
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